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Molodets [167]
3 years ago
11

Which lines are parallel if ∠6 ≅ ∠4? Justify your answer.

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

<6 = <7 vertical angles

<1 = <4 vertical angles

if <6 = <4

then y is parallel to z  because <1 = <7  alternate interior angles are equal

You might be interested in
Given: AB ≅ BC , m∠MOC = 135° OM − angle bisector of ∠AOB Prove: ∠ABO ≅ ∠CBO
Gennadij [26K]

Answer:

See explanation

Step-by-step explanation:

1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then

m∠AOM = 180° - 135° = 45°

2. OM − angle bisector of ∠AOB, then

m∠AOM = m∠MOB = 45°

3. Now

m∠BOC = m∠MOC - m∠MOB

m∠BOC = 135° - 45° = 90°

4. Since m∠BOC = 90°, BO is perpendicular to AC.

5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus

∠ABO ≅ ∠CBO

8 0
2 years ago
Which is the intersection of the sets {0, 1, 5, 7, 8} and {0,5,7,9}?
grigory [225]

Answer:

Step-by-step explanation:

Intersection set will contain the data that are found in both the sets

A = { 0 , 1 ,5 ,7,8}

B= {0,5,7,9}

A ∩ B = {0,5,7}

5 0
2 years ago
In the right triangle shown
pav-90 [236]

Answer:

12

Step-by-step explanation:

Using the 30-60-90 triangle formula side AB would be double of side CB.

3 0
3 years ago
Evaluate -125^(-1/3)
soldi70 [24.7K]

Answer:

1/-125^(1/3)

=1/-5

=-0.2

3 0
3 years ago
I need help with this question. can someone please help me
Ahat [919]
-2x + y =3
use 5 number and put it in above equation to find y, I will use -2,-1,0,1,2
x      y
-2   -1
-1    1
 0    3
 1    5
 2    7

Then draw the graph, find another point in the graph which intersect the slope, 
lets say i found (-3,-3)which is on the slope
to prove it, i put (-3,-3) in the equation -2x + y = 3
and i got 
3 = 3
Thus it is correct.

7 0
3 years ago
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